Q: What are the factor combinations of the number 11,743,836?

 A:
Positive:   1 x 117438362 x 58719183 x 39146124 x 29359596 x 195730612 x 97865313 x 90337226 x 45168639 x 30112452 x 22584378 x 15056283 x 141492156 x 75281166 x 70746249 x 47164332 x 35373498 x 23582907 x 12948996 x 117911079 x 108841814 x 64742158 x 54422721 x 43163237 x 3628
Negative: -1 x -11743836-2 x -5871918-3 x -3914612-4 x -2935959-6 x -1957306-12 x -978653-13 x -903372-26 x -451686-39 x -301124-52 x -225843-78 x -150562-83 x -141492-156 x -75281-166 x -70746-249 x -47164-332 x -35373-498 x -23582-907 x -12948-996 x -11791-1079 x -10884-1814 x -6474-2158 x -5442-2721 x -4316-3237 x -3628


How do I find the factor combinations of the number 11,743,836?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 11,743,836, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 11,743,836
-1 -11,743,836

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 11,743,836.

Example:
1 x 11,743,836 = 11,743,836
and
-1 x -11,743,836 = 11,743,836
Notice both answers equal 11,743,836

With that explanation out of the way, let's continue. Next, we take the number 11,743,836 and divide it by 2:

11,743,836 ÷ 2 = 5,871,918

If the quotient is a whole number, then 2 and 5,871,918 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 5,871,918 11,743,836
-1 -2 -5,871,918 -11,743,836

Now, we try dividing 11,743,836 by 3:

11,743,836 ÷ 3 = 3,914,612

If the quotient is a whole number, then 3 and 3,914,612 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 3,914,612 5,871,918 11,743,836
-1 -2 -3 -3,914,612 -5,871,918 -11,743,836

Let's try dividing by 4:

11,743,836 ÷ 4 = 2,935,959

If the quotient is a whole number, then 4 and 2,935,959 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 2,935,959 3,914,612 5,871,918 11,743,836
-1 -2 -3 -4 -2,935,959 -3,914,612 -5,871,918 11,743,836
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

12346121326395278831561662493324989079961,0791,8142,1582,7213,2373,6284,3165,4426,47410,88411,79112,94823,58235,37347,16470,74675,281141,492150,562225,843301,124451,686903,372978,6531,957,3062,935,9593,914,6125,871,91811,743,836
-1-2-3-4-6-12-13-26-39-52-78-83-156-166-249-332-498-907-996-1,079-1,814-2,158-2,721-3,237-3,628-4,316-5,442-6,474-10,884-11,791-12,948-23,582-35,373-47,164-70,746-75,281-141,492-150,562-225,843-301,124-451,686-903,372-978,653-1,957,306-2,935,959-3,914,612-5,871,918-11,743,836

More Examples

Here are some more numbers to try:

11,743,83411,743,83511,743,83711,743,838
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